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ScienceAsia 40(2014): 375-378 |doi: 10.2306/scienceasia1513-1874.2014.40.375

Variable step 2-point block backward differentiation formula for index-1 differential algebraic equations

Naghmeh Abasia,*, Mohamed Bin Suleimana, Zarina Bibi Ibrahimb, Hamisu Musab, Faranak Rabieia

ABSTRACT:     In this paper, index-1 differential algebraic equations have been solved via a block backward differentiation formula (BDF) using variable step size. Two solution values are obtained simultaneously based on the method in the block. The strategy of controlling the step size is proposed. The method is compared with the existing variable step BDF method. Numerical results are given to support the enhancement of the method in terms of accuracy.

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a Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia
b Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia

* Corresponding author, E-mail: naghmeh.abasiupm@yahoo.com

Received 25 Apr 2013, Accepted 20 Dec 2013